19 books (1 pages) in this category
by Gelbart, Stephen S.
<p>This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new ...eBook
by Rogawski, Jonathan David
<p>The purpose of this book is to develop the stable trace formula for unitary groups in three variables. The stable trace formula is then applied to obtain a classification of automorphic representations. This work represents the first case in ...eBook
by Lusztig, George
<p>This book presents a classification of all (complex) irreducible representations of a reductive group with connected centre, over a finite field. To achieve this, the author uses etale intersection cohomology, and detailed information on ...eBook
by Gersten, S. M.
<p>Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of <i>Combinatorial Group Theory and Topology</i>. The work ...eBook
by Sewell, Walter Edwin
<p>The book description for the forthcoming "Degree of Approximation by Polynomials in the Complex Domain. (AM-9)" is not yet available.</p> ...eBook
by Greenberg, Leon
<p>Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian ...eBook
by Lusztig, George
<p>In this book Professor Lusztig solves an interesting problem by entirely new methods: specifically, the use of cohomology of buildings and related complexes.</p><p>The book gives an explicit construction of one distinguished member, D(V), of ...eBook
by Walter Rudin
<p>Written by a master mathematical expositor, this classic text reflects the results of the intense period of research and development in the area of Fourier analysis in the decade preceding its first publication in 1962. The enduringly ...eBook
by Karpilovsky, Gregory
This volume is divided into three parts. Part I provides the foundations of the theory of modular representations. Special attention is drawn to the Brauer-Swan theory and the theory of Brauer characters. A detailed investigation of quadratic, ...eBook
<p>Group theory is a term that is mainly used fields related to mathematics such as algebraic calculations. In abstract algebra, groups are referred as algebraic structures. Other terms of algebraic theories, such as rings, fields and vector ...eBook
by Zee, A.
<p>Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an ...eBook
by Silberger, Allan G.
<p>Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups.</p><p>Originally published in ...eBook
by Miller, Charles F., III
<p>Part exposition and part presentation of new results, this monograph deals with that area of mathematics which has both combinatorial group theory and mathematical logic in common. Its main topics are the word problem for groups, the ...eBook
by Shatz, Stephen S.
<p>In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all ...eBook
by Borel, Armand
<p>The book description for the forthcoming "Seminar on Transformation Groups. (AM-46)" is not yet available.</p> ...eBook
by Arthur, James
<p>A general principle, discovered by Robert Langlands and named by him the "functoriality principle," predicts relations between automorphic forms on arithmetic subgroups of different reductive groups. Langlands functoriality relates the ...eBook
by Weyl, Hermann
<p>In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various propertieseBook
by Marshall Hall
<p>"Mastering the contents of Hall's book will lead a student to the frontiers of group theory. He will be well equipped to read any recent literature and start original research himself in this field ... This remarkable book undoubtedly ...eBook
by Chevalley, Claude
<p>This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley ...eBook